Nonlinear elliptic equations with measure data in Orlicz spaces

• Date: 2021
• Main Authors: Aberqi, A., Bennouna , J., Elmassoudi, M.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1290
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 In this article, we study the existence result of the unilateral problem\begin{gather*}Au-\mbox{div} (\Phi(x,u))+H(x,u,\nabla u)=\mu,\end{gather*}where $Au = -\mbox{div}(a(x,u,\nabla u))$ is a Leray–Lions operator defined on Sobolev–Orlicz space $D(A)\subset W_{0}^{1}L_{M}(\Omega),$ $\mu \...